# Rotation

### -a transformation that rotates or turns a figure on a point

## Function Rules

- 90 degrees counter clockwise: (-y,x)
- 90 degrees clockwise: (y,-x)
- 180 degrees clockwise/counter clockwise: (-x,-y)
- 270 degrees clockwise: (-y,x)
- 270 degrees counter clockwise: (y,-x)
- When the y or x variable is negative, it turns to a positive corresponding to its rule.
- When the y or x variable is positive, it turns to a negative corresponding to its rule.

## 90 Degrees Counter Clockwise Example

Rule: (-y,x)

A) (2,-1) ---> (1,2)

B) (4,1) ---> (-1,4)

C) (3,3) ---> (-3,3)

## 90 Degrees Clockwise

Rule: (y,-x)

A) (2,-1) ---> (-1,-2)

B) (4,1) ---> (1,-4)

C) (3,3) ---> (3,-3)

## 180 Degrees Clockwise/Counter Clockwise

Rule: (-x,-y)

A) (2,-1) ---> (-2,1)

B) (4,1) ---> (-4,-1)

C) (3,3) ---> (-3,-3)

## 270 Degrees Clockwise

Rule: (-y,x)

A) (4,5) ---> (-5,4)

B) (-1,-5) ---> (5,-1)

C) (3,-2) ---> (2,3)

270 Degrees Rotation Video Review (Watch the video)

270 Degrees Rotation Video Review (Watch the video)

## 270 Degrees Counterclockwise

Rule: (y,-x)

A) (7,-4) ---> (-4,-7)

B) (1,2) ---> (2,-1)

C) (-3,8) ---> (8,3)

Mini Game

This is a mini game for transformations, reflection, and rotation. Have fun!